4115332335114 has 432 divisors, whose sum is σ = 12354470391744. Its totient is φ = 986645499840.

The previous prime is 4115332335097. The next prime is 4115332335161.

4115332335114 is a `hidden beast` number, since 4 + 1 + 1 + 533 + 2 + 3 + 3 + 5 + 114 = 666.

4115332335114 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 198385827 + ... + 198406569.

It is an arithmetic number, because the mean of its divisors is an integer number (28598311092).

Almost surely, 2^{4115332335114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4115332335114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177235195872).

4115332335114 is an abundant number, since it is smaller than the sum of its proper divisors (8239138056630).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4115332335114 is a wasteful number, since it uses less digits than its factorization.

4115332335114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20824 (or 20779 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The spelling of 4115332335114 in words is "four trillion, one hundred fifteen billion, three hundred thirty-two million, three hundred thirty-five thousand, one hundred fourteen".